Search a number
-
+
130575360 = 210358501
BaseRepresentation
bin1111100100001…
…10110000000000
3100002200220201110
413302012300000
5231411402420
620542403320
73143605116
oct762066000
9302626643
10130575360
1167785223
1237890540
132108a636
14134adab6
15b6e3ee0
hex7c86c00

130575360 has 88 divisors (see below), whose sum is σ = 417686256. Its totient is φ = 34816000.

The previous prime is 130575337. The next prime is 130575373. The reversal of 130575360 is 63575031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11110 + ... + 19610.

Almost surely, 2130575360 is an apocalyptic number.

130575360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208843128).

130575360 is an abundant number, since it is smaller than the sum of its proper divisors (287110896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130575360 is an equidigital number, since it uses as much as digits as its factorization.

130575360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8529 (or 8511 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 130575360 is about 11426.9576003414. The cubic root of 130575360 is about 507.3259500058.

The spelling of 130575360 in words is "one hundred thirty million, five hundred seventy-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 8501 15360 17002 25503 34004 42505 51006 68008 85010 102012 127515 136016 170020 204024 255030 272032 340040 408048 510060 544064 680080 816096 1020120 1088128 1360160 1632192 2040240 2176256 2720320 3264384 4080480 4352512 5440640 6528768 8160960 8705024 10881280 13057536 16321920 21762560 26115072 32643840 43525120 65287680 130575360